J. Junnila

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math.PR2025

Noise-like analytic properties of imaginary chaos

Juhan Aru, Guillaume Baverez, Antoine Jego +1

In this note we continue the study of imaginary multiplicative chaos $μ_{β} := exp (i β Γ)$ , where $Γ$ is a two-dimensional continuum Gaussian free field. We concentrate here on the fi…

math.PR2024

The density of imaginary multiplicative chaos is positive

Juhan Aru, Antoine Jego, Janne Junnila

Consider a log-correlated Gaussian field $I^$ and its associated imaginary multiplicative chaos $: e^{i I^^{2} I^} :$ where $I^^{2}$ is a real parameter. In [AJJ22], we showed that for any no…